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Finding the Fourth Proportional to 9,920.64, 14,880.33 and 4,656.80

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Solution

The fourth proportional to 9,920.64, 14,880.33 and 4,656.80 is: 6,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.64 : 14,880.33 = 4,656.80 : x
  2. Step 2: Convert to fraction form
    9,920.64/14,880.33 = 4,656.80/x
  3. Step 3: Cross multiply
    9,920.64x = 14,880.33 × 4,656.80
  4. Step 4: Simplify right side
    9,920.64x = 69,294,697.46
  5. Step 5: Solve for x
    x = 69,294,697.46/9,920.64
  6. Step 6: Final answer
    x = 6,984.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.